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Finding the Fourth Proportional to 6,507.55, 8,978.01 and 4,270.68

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Solution

The fourth proportional to 6,507.55, 8,978.01 and 4,270.68 is: 5,891.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.55 : 8,978.01 = 4,270.68 : x
  2. Step 2: Convert to fraction form
    6,507.55/8,978.01 = 4,270.68/x
  3. Step 3: Cross multiply
    6,507.55x = 8,978.01 × 4,270.68
  4. Step 4: Simplify right side
    6,507.55x = 38,342,207.75
  5. Step 5: Solve for x
    x = 38,342,207.75/6,507.55
  6. Step 6: Final answer
    x = 5,891.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.